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Remainders

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by DBushkalov » Sun Feb 24, 2013 1:24 pm
Hi fellows,

hard working as always, I encountered another interesting thing. there it is:

is (-4) / 7 = -1 + 3/7 ???


with:

-4 = Dividend

7 = Divisor

- 1 and 3/7 as consequences of the fixed excess of a negative remainder, which is (-4/7) ??
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by Brent@GMATPrepNow » Sun Feb 24, 2013 1:34 pm
DBushkalov wrote:Hi fellows,

hard working as always, I encountered another interesting thing. there it is:

is (-4) / 7 = -1 + 3/7 ???


with:

-4 = Dividend

7 = Divisor

- 1 and 3/7 as consequences of the fixed excess of a negative remainder, which is (-4/7) ??
Don't worry about this example. On the GMAT, remainders are restricted to positive integers only.

From the official guide:

If x and y are positive integers, there exist unique integers q and r, called the quotient and remainder, respectively, such that y = xq + r and 0 < r < x. For example, when 28 is divided by 8, the quotient is 3 and the remainder is 4 since 28 = (8)(3) + 4.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by Tommy Wallach » Sun Feb 24, 2013 2:55 pm
And no imaginary numbers, either!

-t
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